 | George Roberts Perkins - 1860 - 472 pàgines
...THEORRM XVI. In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, diminished by twice the product of one of these sides, by the projection of the other on the preceding one, produced if necessary. If the angle... | |
 | William Chauvenet - 1871 - 380 pàgines
...THEOREM. 52. In any triangle, the square of the side opposite to an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of these sides and the projection of the other upon that side. Let C be an acute angle of the triangle... | |
 | William Chauvenet - 1872 - 382 pàgines
...XV.—THEOREM. 52. 7)i any triangle, the square of the side opposite to an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of these sides and the projection of the other •upon thnt side. Let C be an acute angle of the triangle... | |
 | Harvard University - 1874 - 668 pàgines
...proportionally. 6. In any triangle the square of the side opposite to an acute angle is equal to the Bum of the squares of the other two sides diminished by twice the product of one of these sides and the projection of the other upon that side. 7. The area of a trapezoid is equal to... | |
 | United States Naval Academy - 1874 - 888 pàgines
...length. 3. Prove that in any triangle the square of a side opposite an aeute angle is equal > th« sum of the squares of the other two sides diminished by twice the product of R- of these sides and the projection of the other upon that side. Show how to draw tangent to a given... | |
 | George Albert Wentworth - 1877 - 416 pàgines
...THEOREM. 335. In any triangle, the square on the side opposite an acute angle is equivalent to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side. A Lot C be an acute angle of the triangle ABC, and... | |
 | George Albert Wentworth - 1877 - 426 pàgines
...335 (in any Л the square on the side opposite an acute Z is equivalent to the sum of the squares on the other two sides, diminished by twice the product of one of those sides and the projection of the other upon that side). Add these two equalities, and observe that BM = M... | |
 | George Albert Wentworth - 1877 - 416 pàgines
...the square on the side opposite an ande angle is equivalent to the sum of the squares of the oiler two sides diminished by twice the product of one of those sides and t he projection of the other upon that side. D Fig. 1. Fig. 2. Let С be an acute angle of the... | |
 | George Albert Wentworth - 1881 - 266 pàgines
...335. In any triangle, the square un the side opposite an acute angle is equivalent to tfie sum of (he squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side. F1g. 2. Let С be an acute angle of the triangle ABC,... | |
 | Brookline (Mass.) - 1881 - 674 pàgines
...work. 3. In any triangle, the square of the side opposite to an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of these sides and the projection of the other upon that side. Prove. 4. To find a mean proportional between... | |
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In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides by the projection of the other upon that side. 
